Entanglement Sharing in RealVectorSpace Quantum Theory
Abstract
The limitation on the sharing of entanglement is a basic feature of quantum theory. For example, if two qubits are completely entangled with each other, neither of them can be at all entangled with any other object. In this paper we show, at least for a certain standard definition of entanglement, that this feature is lost when one replaces the usual complex vector space of quantum states with a real vector space. Moreover, the difference between the two theories is extreme: in the realvectorspace theory, there exist states of arbitrarily many binary objects, "rebits," in which every rebit in the system is maximally entangled with each of the other rebits.
 Publication:

Foundations of Physics
 Pub Date:
 January 2012
 DOI:
 10.1007/s1070101094881
 arXiv:
 arXiv:1007.1479
 Bibcode:
 2012FoPh...42...19W
 Keywords:

 Entanglement;
 Entanglement monogamy;
 Realvectorspace quantum theory;
 Quantum Physics
 EPrint:
 13 pages